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Home » Factor the numerator: \( x^2 - 9 = (x - 3)(x + 3) \). - Midis

Factor the numerator: \( x^2 - 9 = (x - 3)(x + 3) \). - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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Diviser par 2 : \( x + 2y \leq 50 \)
Résoudre \( 3x + 2y \leq 90 \).
Pour maximiser la production, chercher l’intersection des contraintes...
À partir de \( x + 2y = 50 \), exprimer \( x = 50 - 2y \).
Substituer dans la deuxième équation :
3(50 - 2y) + 2y \leq 90 \\
- 6y + 2y \leq 90 \\
- 4y \leq 90 \\
-4y \leq -60 \\
y \geq 15

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Let’s try integer values. Try $x = 0$:
+ 2y^2 = 2 \Rightarrow y^2 = 1 \Rightarrow y = \pm1 \Rightarrow z = \p...
So possible coordinates: $(0,1,1)$ or $(0,-1,-1)$.
Check distances:
From $(0,1,1)$ to $(0,0,0)$: $\sqrt{0 + 1 + 1} = \sqrt{2}$
To $(1,1,0)$: $\sqrt{1 + 0 + 1} = \sqrt{2}$
To $(1,0,1)$: $\sqrt{1 + 1 + 0} = \sqrt{2}$
All distances match.
Thus, the fourth vertex is $\boxed{(0,1,1)}$.
Question: Find all angles $z \in [0^\circ, 360^\circ]$ that satisfy

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